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What is the Least Common Multiple of 54491 and 54501?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 54491 and 54501 is 2969813991.

LCM(54491,54501) = 2969813991

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Least Common Multiple of 54491 and 54501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54491 and 54501, than apply into the LCM equation.

GCF(54491,54501) = 1
LCM(54491,54501) = ( 54491 × 54501) / 1
LCM(54491,54501) = 2969813991 / 1
LCM(54491,54501) = 2969813991

Least Common Multiple (LCM) of 54491 and 54501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54491 and 54501. First we will calculate the prime factors of 54491 and 54501.

Prime Factorization of 54491

Prime factors of 54491 are 29, 1879. Prime factorization of 54491 in exponential form is:

54491 = 291 × 18791

Prime Factorization of 54501

Prime factors of 54501 are 3, 37, 491. Prime factorization of 54501 in exponential form is:

54501 = 31 × 371 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 54491 and 54501.

LCM(54491,54501) = 291 × 18791 × 31 × 371 × 4911
LCM(54491,54501) = 2969813991